Q) Verify that lines given by 𝑟 =(1−𝜆)𝑖 +(𝜆−2)𝑗 +(3−2𝜆)𝑘and 𝑟 =(𝜇+1)𝑖 +(2𝜇−1) 𝑗 −(2𝜇+1

Q7 Ex 12.1 Class 10 Maths | Surface Areas and Volumes | NCERT Solution Explained.

Q) Find the image A^′ of the point A(2,1,2) in the line 𝑙:r =4i +2j +2k +𝜆(i −j −k ). Also, find

Q) If the direction cosines of a line are 𝜆,𝜆,𝜆, then 𝜆 is #threedimensionalgeometry

Q) Let the position vectors of the points A,B and C be 3i −j −2k , 𝑖 +2𝑗 −𝑘 and 𝑖 +5𝑗 +3𝑘

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Q) Find the shortest distance between the lines given by(𝑟 =(4𝑖 −𝑗 +2𝑘 )+𝜆(𝑖 +2𝑗 −3𝑘 )

Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.

Q) Find the angle between the two lines whose equations are 2𝑥=3𝑦=−𝑧 and 6𝑥=−𝑦=−4𝑧.